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What is the Least Common Multiple of 92691 and 92708?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 92691 and 92708 is 8593197228.

LCM(92691,92708) = 8593197228

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Least Common Multiple of 92691 and 92708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92691 and 92708, than apply into the LCM equation.

GCF(92691,92708) = 1
LCM(92691,92708) = ( 92691 × 92708) / 1
LCM(92691,92708) = 8593197228 / 1
LCM(92691,92708) = 8593197228

Least Common Multiple (LCM) of 92691 and 92708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92691 and 92708. First we will calculate the prime factors of 92691 and 92708.

Prime Factorization of 92691

Prime factors of 92691 are 3, 3433. Prime factorization of 92691 in exponential form is:

92691 = 33 × 34331

Prime Factorization of 92708

Prime factors of 92708 are 2, 7, 11, 43. Prime factorization of 92708 in exponential form is:

92708 = 22 × 72 × 111 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 92691 and 92708.

LCM(92691,92708) = 33 × 34331 × 22 × 72 × 111 × 431
LCM(92691,92708) = 8593197228